3Blue1Brown
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- Intro
- What is Wordle?
- Initial ideas
- But how does bitcoin actually work?
- The Bug
- The most unexpected answer to a counting puzzle
- But what is the Fourier Transform? A visual introduction.
- Introduction
- The hardest problem on the hardest test
- Exponential growth and epidemics
Show all 100 songs
- How the best first guess is chosen
- Simulating an epidemic
- Information theory basics
- This problem seems hard, then it doesn't, but it really is
- Fake sphere proof
- Fake pi = 4 proof
- Does this ruin the game?
- Incorporating word frequencies
- Final performance
- Fake proof that all triangles are isosceles
- How secure is 256 bit security?
- Solving Wordle using information theory
- Why do prime numbers make these spirals?
- The essence of calculus
- Where do convolutions show up?
- Why do colliding blocks compute pi?
- Group theory and why I love 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
- Oh, wait, actually the best Wordle opener is not “crane”…
- The pattern
- Visualizing quaternions (4d numbers) with stereographic projection
- Roots of polynomials
- The players
- Add two random variables
- Recap, the surprise pi
- What is a Hologram?
- Who cares about topology? (Inscribed rectangle problem)
- What does it feel like to invent math?
- But WHY is a sphere's surface area four times its shadow?
- To comb a hairy ball
- How to lie using visual proofs
- Why is pi here? And why is it squared? A geometric answer to the Basel problem
- Newton’s method
- Image processing
- Featured guests
- Moving average analogy
- How to start
- Moving averages
- Music And Measure Theory
- Large Language Models explained briefly
- Alice's initial thoughts
- Bayes theorem, and making probability intuitive
- The impossible chessboard puzzle
- The recording process
- Applications
- Misconceptions
- Polynomial multiplication
- A simple example
- Puzzle statement and motivation
- The fractal
- The unexpectedly hard windmill question (2011 IMO, Q2)
- Researchers thought this was a bug (Borwein integrals)
- How to analyze the blocks
- Piecing together the cube
- The Essence of Calculus, Chapter 1
- The print gallery
- A simplified Galton Board
- The boundary property
- Measuring runtime
- The more general uncertainty principle, beyond quantum
- Some light quantum mechanics (with minutephysics)
- Euler's formula with introductory group theory
- Surfaces with holes
- The state vector
- The game plan
- Alice, Bob, and the average shadow of a cube
- Qubits
- The general idea
- Simpler example
- Inscribed squares
- The generating function
- The simplest hologram
- Preface to the second edition
- Concluding thoughts
- Closing thoughts
- The main surface
- Quaternions and 3d rotation, explained interactively
- Dice simulations
- So why do colliding blocks compute pi?
- SoME1
- Why this puzzle is impossible
- The true distributions for sums
- Why 4d geometry makes me sad
- Intro example
- The Mandelbrot set
- The statistician's friend
- Conformal maps from complex analysis
- Bob's conclusion
- Winners
- The quick proof of Bayes' theorem
- The vibe of quantum algorithms
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